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Finding the Third Proportional to 718,651 and 1,564,798

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Solution

The third proportional to 718,651 and 1,564,798 is: 3,407,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,651 : 1,564,798 = 1,564,798 : x
  2. Step 2: Convert to fraction form
    718,651/1,564,798 = 1,564,798/x
  3. Step 3: Cross multiply
    718,651x = 1,564,798 × 1,564,798
  4. Step 4: Simplify right side
    718,651x = 2,448,592,780,804
  5. Step 5: Solve for x
    x = 2,448,592,780,804/718,651
  6. Step 6: Final answer
    x = 3,407,207.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.